\documentclass[a4paper,UTF8]{article}
\usepackage{ctex}
\usepackage{tikz, pgfplots}
\usetikzlibrary{calc,angles,quotes}
\pgfplotsset{width=15cm,compat=1.18}
\begin{document}
	\begin{tikzpicture}
		\begin{axis}[xlabel=x,ylabel=y,zlabel=z]
			\addplot3 [only marks] coordinates{
			(0, 0, 5)
			(0, 5, 3)
			(0, 10, 5)
			(5, 0, 3)
			(5, 5, 10)
			(5, 10, 3)
			(10, 0, 5)
			(10, 5, 3)
			(10, 10, 5)
		};

		% 画上插值曲面


		\addplot3 [black,domain=0:5,domain y=5:10,mesh]{+3.0+6.0*((y-5.0)/5)^2-4.0*((y-5.0)/5)^3+(+21.0-81.0*((y-5.0)/5)^2+54.0*((y-5.0)/5)^3)*(x/5)^2+(-14.0+54.0*((y-5.0)/5)^2-36.0*((y-5.0)/5)^3)*(x/5)^3};

		\end{axis}

	\end{tikzpicture}
\end{document}